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It is shown that, for a Bose gas of rigid spherical atoms of radius a, the pressure p is given by the pair-density $g(r)$ and the energy per atom u by the formula ${p}{{ρ}T}=2/3u/T+2/3{π}{a}³·{}1/2mT·{}{g}^{{'}{'}}(a).$
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M. Fierz (1957) studied this question.
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